(20y-11)+(4y+6)+(7y-7)=180

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Solution for (20y-11)+(4y+6)+(7y-7)=180 equation:


Simplifying
(20y + -11) + (4y + 6) + (7y + -7) = 180

Reorder the terms:
(-11 + 20y) + (4y + 6) + (7y + -7) = 180

Remove parenthesis around (-11 + 20y)
-11 + 20y + (4y + 6) + (7y + -7) = 180

Reorder the terms:
-11 + 20y + (6 + 4y) + (7y + -7) = 180

Remove parenthesis around (6 + 4y)
-11 + 20y + 6 + 4y + (7y + -7) = 180

Reorder the terms:
-11 + 20y + 6 + 4y + (-7 + 7y) = 180

Remove parenthesis around (-7 + 7y)
-11 + 20y + 6 + 4y + -7 + 7y = 180

Reorder the terms:
-11 + 6 + -7 + 20y + 4y + 7y = 180

Combine like terms: -11 + 6 = -5
-5 + -7 + 20y + 4y + 7y = 180

Combine like terms: -5 + -7 = -12
-12 + 20y + 4y + 7y = 180

Combine like terms: 20y + 4y = 24y
-12 + 24y + 7y = 180

Combine like terms: 24y + 7y = 31y
-12 + 31y = 180

Solving
-12 + 31y = 180

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add '12' to each side of the equation.
-12 + 12 + 31y = 180 + 12

Combine like terms: -12 + 12 = 0
0 + 31y = 180 + 12
31y = 180 + 12

Combine like terms: 180 + 12 = 192
31y = 192

Divide each side by '31'.
y = 6.193548387

Simplifying
y = 6.193548387

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